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1131332221320 = 233572829232091
BaseRepresentation
bin10000011101101000101…
…001111011100110001000
311000011011111011112012020
4100131220221323212020
5122013432022040240
62223420555444440
7144510316133400
oct20355051734610
94004144145166
101131332221320
113a68825aa684
12163314a56720
13828b817a3c2
143ca8481d800
151e6665320d0
hex10768a7b988

1131332221320 has 192 divisors, whose sum is σ = 3952898107200. Its totient is φ = 258277178880.

The previous prime is 1131332221259. The next prime is 1131332221321. The reversal of 1131332221320 is 231222331311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1131332221321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4758475 + ... + 4990565.

It is an arithmetic number, because the mean of its divisors is an integer number (20588010975).

Almost surely, 21131332221320 is an apocalyptic number.

1131332221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131332221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976449053600).

1131332221320 is an abundant number, since it is smaller than the sum of its proper divisors (2821565885880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1131332221320 is a wasteful number, since it uses less digits than its factorization.

1131332221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232948 (or 232937 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1131332221320 its reverse (231222331311), we get a palindrome (1362554552631).

The spelling of 1131332221320 in words is "one trillion, one hundred thirty-one billion, three hundred thirty-two million, two hundred twenty-one thousand, three hundred twenty".